SOLUTION: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a? 2) determine the value of

Algebra ->  Linear-equations -> SOLUTION: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a? 2) determine the value of      Log On


   



Question 729602: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a?
2) determine the value of k for which the system of linear equations has no solution
2x-y=3
4x+ky=5

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(2,a) and (5,-3)
slope m=+%28-3-a%29%2F%285-2%29
=(-3-a)/2
is parallel to the line passing through the points
(4,8) and (-5,a+1)
slope m=+%28a%2B1-8%29%2F%28-5-4%29
=%28a-7%29%2F-9
the lines are parallel so the slopes are equal

%28-3-a%29%2F2++=+%28a-7%29%2F-9
-9(-3-a)=2(a-7)
27+9a=2a-14
7a=-41
a=-41/7